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Equicontinuity of families of plurisubharmonic functions with bounds on their Monge-Ampère masses

✍ Scribed by Sławomir Kołodziej

Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
131 KB
Volume
240
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

Subextension of plurisubharmonic functio
Subextension of plurisubharmonic functions with bounded Monge–Ampère mass
✍ Urban Cegrell; Ahmed Zeriahi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 89 KB

Let Ω C n be a hyperconvex domain. Denote by E 0 (Ω) the class of negative plurisubharmonic functions ϕ on Ω with boundary values 0 and finite Monge-Ampère mass on Ω. Then denote by F(Ω) the class of negative plurisubharmonic functions ϕ on Ω for which there exists a decreasing sequence (ϕ) j of plu